Least Common Multiple of 36/435, 159/733, 380/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/435, 159/733, 380/502 quickly i.e. 181260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/435, 159/733, 380/502 is 181260.

LCM(36/435, 159/733, 380/502) = 181260

LCM of 36/435, 159/733, 380/502

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 36/435,159/733,380/502

Given numbers are 36/435,159/733,380/502

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 36,159,380

Least Common Multiple of Numerators i.e. LCM of 36,159,380 is 181260.

GCF of Denominators means GCF of 435,733,502 as per the given fractions.

GCF of 435,733,502 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,159,380

LCM of Fractions 36/435,159/733,380/502 is 181260

2 36, 159, 380
2 18, 159, 190
3 9, 159, 95
3, 53, 95

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 53 x 95 = 181260

Least Common Multiple of 36,159,380 with GCF Formula

Least Common Multiple of 36,159,380 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 36,159,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,159,380) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(36,159,380) x common factors =1 x 12 = 12

LCM(36,159,380) = ( 36 × 159 × 380 ) / 12

LCM(36,159,380) = 2175120 / 12

LCM(36,159,380) = 181260


Lets's calculate GCF of 435,733,502

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181260/1

Therefore the LCM of Fractions 36/435,159/733,380/502 is 181260

Greatest Common Factor of 435,733,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,733,502 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 435,733,502 . The biggest common factor number is the GCF number.
So the greatest common factor 435,733,502 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 36/435, 159/733, 380/502

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 36/435, 159/733, 380/502?

Answer: LCM of Numerators as per given numbers 36/435, 159/733, 380/502 is

LCM of Numerators i.e. for 36,159,380 is 181260

GCF of denominators i.e. for 435,733,502 is 1.

Thus, LCM of Fractions is 181260.Finally, LCM of Fractions for 36/435, 159/733, 380/502 is 181260.